The following table shows,
<ul>
<li>in level 277, the nonlift,</li>
<li>in levels 349, 353, 389, 461, 523, 587,
the <em>conjectured</em> nonlifts.</li>
</ul>
The number (#) next to each orbit denotes the number of eigenforms in the orbit.

    <script language="javascript"> var prevlev=0;var s; var a; var lev;</script>

<table class="siegel_dim_table">
  <tr><td>Weight</td><td>Level</td><td>Galois-Orbits of nonlifts</td></tr>
  {% for wt,forms in  info.forms%}
      {% for form,dim in forms|sort  %}
    <script language="javascript">
    s="{{ form }}";  a=s.split('_'); lev=a[1];
    if(lev != prevlev){
      if(prevlev != 0){document.write("</td></tr>");}
      prevlev=lev;
    document.write("<tr> <td>{{ wt }}</td><td>" + lev +" </td> <td>");
    }
    </script>
      <span style="margin-right:20px;">
<a href="{{ url_for( 'ModularForm_GSp4_Q_top_level', group='Kp', form = form, weight = wt, page = 'specimen',orbit='Nonlift') }}">{{ form }} ({{ dim }})</a></span>
      {% endfor %}
    </td>
  </tr>
  {% endfor %}
</table>
